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Finding the Fourth Proportional to 6,980.67, 10,464.53 and 3,468.51

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Solution

The fourth proportional to 6,980.67, 10,464.53 and 3,468.51 is: 5,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.67 : 10,464.53 = 3,468.51 : x
  2. Step 2: Convert to fraction form
    6,980.67/10,464.53 = 3,468.51/x
  3. Step 3: Cross multiply
    6,980.67x = 10,464.53 × 3,468.51
  4. Step 4: Simplify right side
    6,980.67x = 36,296,309.61
  5. Step 5: Solve for x
    x = 36,296,309.61/6,980.67
  6. Step 6: Final answer
    x = 5,199.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.